Aline passes through the points (12,2) and (18,3).what is the equation in slope-intercept form

Hello from MrBillDoesMath!

y = (1/6) x

Discussion:

Slope intercept form of a line is y = mx +b

Step 1: Find "m" ( the slope of the line)

m = change in y / change in x

   = (2-3)/( 12-18 )

  = -1/-6

  = + 1/6

This means that y= (1/6) x + b

Step 2: Determine the value b

As the line goes through (12, 2) substitute x = 12 and y =2 in the above equation to get

y = (1/6)x + b  =>

2 = (1/6) 12 + b =>

2 = 2 + b  =>

b = 0

Conclusion: y = (1/6) x

Thank you,

MrB

the correct option is b

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!